Will create more problems than the one problem it will solve, IMO. More questions in the questions forum about why the correct version of tracks aren't scrobbling for example.
It's not just that "some people" have multiple versions of the same song from different albums, it's that the last.fm service itself has multiple versions of the same song from different albums. Like, every band that ever put out a greatest hits album or a live album, for example. I'm guessing "most people" have greatest hits albums or live albums in their library. To scrobble any of these tracks correctly, the album tag is as essential as the title and artist.
It's not redundant to use the album tag, because this is used to match it back to the right file in MusicBee when you synchronize your play counts and last played times back.
The solution is to tag the songs with the proper album they came from, not to kludge together some broken functionality to account for mis-tagged files. Scrobbles are working exactly correctly for properly tagged files at the moment, and there's no reason to mess with that.
Again, IMO, of course.